Answer:
28.26 ft squared
Step-by-step explanation:
Area is pi*r^2
3.14*(3)^2
3.14*9
28.26
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Mark Wolfman is the director of safety at Waterworld. He needs to order a new wire for the tallest tower in the park. One end of the wire is attached to the top of the tower and the other end is attached to stake in the ground that is 44 feet away from the base of the tower. The wire makes a 78 degree angle with the flat ground. How much wire will he need?
Answer: Approximately 211.628311 feet of wire is needed
==========================================================
Explanation:
Draw out a right triangle with 44 as the horizontal component. The angle 78 is the angle of elevation right next to the horizontal side.
Let x be the length of the wire needed. This is the hypotenuse of the triangle.
Use the cosine ratio to say the following:
cos(angle) = adjacent/hypotenuse
cos(78) = 44/x
x*cos(78) = 44
x = 44/cos(78)
x = 211.628311 feet approximately
Round this value however you need to.
Answer:
211.63 ft (nearest hundredth)
Step-by-step explanation:
**Refer to the attached diagram**
We need to find the hypotenuse of the right triangle.
To do this, we should use the cos trig ratio:
[tex]\sf cos(\theta)=\dfrac{A}{H}[/tex]
where:
[tex]\theta[/tex] is the angleA is the side adjacent to the angleH is the hypotenuseGiven:
[tex]\theta[/tex] = 78°A = 44 ftH = wSubstitute given values into the equation and solve for w:
[tex]\sf \implies cos(78)=\dfrac{44}{w}[/tex]
[tex]\sf \implies w=\dfrac{44}{cos(78)}[/tex]
[tex]\sf \implies w=211.6283112[/tex]
Therefore, the length of wire needed is 211.63 ft (nearest hundredth)
Solve x2 - 64 = 0.
1. Isolate x2: x2 = 64
2. Apply the square root property of equality: Vx3 = +/64
3. Isolate the variable:
Answer: x = ±8
Step-by-step explanation:
x^2 – 64 = 0
Add 64 to each side
x^2 – 64 +64= +64
x^2 = 64
Take the square root of each side
sqrt(x^2) = ±sqrt(64)
x = ±8
Choose the expression that is equivalent to 7w2-3/5 (10m2 - 15w – 15) +2w
Answer:
The answer is C :)
Step-by-step explanation:
Devi rides the bus to her grandmother’s house every day. She tracked how many minutes the bus rides took for one week:
Calculate the mean, median, range, and midrange of the bus ride times for a week.
Answer:
Noone can answer it if you dont give us the numbers
Step-by-step explanation:
Transform the table below given that g(x) = 2 f(6x).+ 8. Enter your answers as reduced fractions if necessary. Make sure your answers line up vertically with the corresponding x and f(x) values. As a hint, you can consider y f(x) to be the base graph of g(x).
The function g(x) = 2f(6x) + 8 is a function transformation of the function f(x)
How to transform the table?The function g(x) is given as:
g(x) = 2f(6x) + 8
The table is not given.
So, I will provide a general explanation
Using the following values of x:
x = 0, 1, 2, 3......
We have:
g(0) = 2f(6 *0) + 8
g(0) = 2f(0) + 8
g(1) = 2f(6 *1) + 8
g(1) = 2f(6) + 8
g(2) = 2f(6 *2) + 8
g(2) = 2f(12) + 8
g(3) = 2f(6 *3) + 8
g(3) = 2f(18) + 8
Next, we assume the following values
f(0) = 4, f(6) = 5; f(12) = 6 and f(18) = 7
The values become:
g(0) = 2f(0) + 8 = 2 * 4 + 8 = 16
g(1) = 2f(6) + 8 = 2 * 5 + 8 = 18
g(2) = 2f(12) + 8 = 2 * 6 + 8 = 20
g(3) = 2f(18) + 8 = 2 * 7 + 8 = 22
So, the table of values would be:
x g(x)
0 16
1 18
2 20
3 22
Read more about function transformation at:
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12. An empty avocado crate weighs 4.2 kg. How many avocados weighing 0.3 kg each can be added before the total weight of the crate reaches 15.0 kg?
Find the value of the given trigonometric function.
cos 420°
Recall that cos(x + y) = cos(x) cos(y) - sin(x) sin(y). So
cos(420°) = cos(360° + 60°)
cos(420°) = cos(360°) cos(60°) - sin(360°) sin(60°)
cos(420°) = cos(60°)
since cos(360°) = 1 and sin(360°) = 0. Then
cos(420°) = cos(60°) = 1/2
Helpppppppppppp me out
Answer:
1.898×[tex]10^{27}[/tex]
2×[tex]10^{27}[/tex]
Step-by-step explanation:
so, there's what's called standard form in maths. this is where you're given a crazy-long chain of digits and are made to shorten that long number. the great thing about this kind of notation is that it makes reading large quantites easier (like super easy)
when dealing with standard form, the unit before the comma must always be from numbers one to nine, always!!!the digits before the comma must never be zero or anything above 9.99999... never!!! after placing your comma all you have to do is count the number of digits (or in this case, zeros) that number of digits after the comma then becomes the power your 10 is being raised to.it is crucial for you to remember that 10, otherwise your number won't be in it's standard formI hope you'll find this helpful
please correct any and all errors found :)
What is the surface area of each solid pyramid? Round answers to the nearest square unit.
Please explain how to solve the problem, not just the answer.
Answer:
The total surface area is
57ft^2.
Lacey worked 40 hr. at $18.75 per hour. Find her pay using P = RH.
Answer:
750
Step-by-step explanation:
I multiplied the hours she worked by the amount of payment per hour.
Answer:
$750
Step-by-step explanation:
Since Lacey worked 40 hours with the condition that each hours, Lacey will be paid for $18.75, because they worked 40 hours, therefore:
[tex]\displaystyle \large{P = 18.75+18.75+18.75+...+18.75}[/tex]
From above, you add from first hour pay to 40th hour pay. However, that’d take quite a long time to evaluate:
[tex]\displaystyle \large{\sum_{H=1}^{40} 18.75 = 18.75 \cdot 40}[/tex]
Then evaluate 18.75 * 40 and therefore the solution is $750
For usage of formula:
P = RH for P = pay, H = hour and R = rate (pay per hour)
So if you use the formula, you’d still end up with P = 18.75*40 which is $750
A house is on a 60,000-squarefoot lot. Rounded to the nearest tenth, approximately how many acres are in the lot?
Answer:
1.4. If you look at the image if it looks like yours then it’s number 4, 1.4.
Step-by-step explanation:
i hope that helps!!
Factorize the given expressions below.
a) 6x power 2 -3x
b) x power 2 + 3x - 28
c) 4au + 24av - 5bu - 30bv
please answer and make it clear. give them brainlest answer.
[tex]\textbf{a)}\\\\6x^2 -3x = 3x(2x-1)\\\\\textbf{b)}\\\\x^2+3x -28 \\\\=x^2 +7x-4x-28\\\\=x(x+7)-4(x+7)\\\\=(x-4)(x+7)\\\\\textbf{c)}\\\\4au+24av-5bu-30bv\\\\=4a(u+6v)-5b(u+6v)\\\\=(u+6v)(4a-5b)[/tex]
Step-by-step explanation:
A.6x^2-3x
3x(2x-1)
B.x^2+3x-28
product= -28x^2 sum= +3x factors= +7x, -4x
(x^+7x)(-4x-28)
x(x+7)-4(x+7)
(x-4)(x+7)
C.4au + 24av -5bu - 30bv
4a(u+6v)-5b(u+6v)
(4a-5b)(u+6v)
1. Oscar and Eli set up a lemonade stand. If they have prepared 2 1/2 gallons of lemonade, how many 1-cup servings can they sell? A) 10 B 20 C
40 D 80
Answer:
40 cups
Step-by-step explanation:
There are 16 cups in one gallon. So 16 * 2 1/2 = 40
I’ll give BRAINLIEST
Helen is N year old. Helen’s Brother is a year older than her.
a. Write n algebraic expression for the age of Helen’s brother
b. Find her brother’s age if Helen is age 12
C. Find her brothers age If Helen is x years old
Answer:
[tex] \fbox{ \sf A) Age of Helen’s brother = N+1} \\ \fbox{ \sf B) Age of Helen’s brother = 13 \: year \: old} \\ \fbox{ \sf C) Age of Helen’s brother = x+1} [/tex]
Step-by-step explanation:
Given:
Helen's age = N year old
Helen's brother = One year older than helen
To find:
a. Write n algebraic expression for the age of Helen’s brother
b. Find her brother’s age if Helen is age 12
C. Find her brothers age If Helen is x years old
Solution:
A)algebraic expression for the age of Helen’s brother = Helen’s age + 1 = N+1
[tex]\fbox{Age of Helen’s brother = N+1}[/tex]
B) if helen is 12 year old then, N = 12
substituting the value of N in above equation,
Age of Helen’s brother = N+1 = 12+1 = 13 y/o
[tex]\fbox{Age of Helen’s brother = \: 13 \: year \: old}[/tex]
C) if helen is x year old then, N = x
substituting the value of N in above equation,
Age of Helen’s brother = N+1 = x+1
[tex]\fbox{Age of Helen’s brother = x+1}[/tex]
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Express q(x)=12x^5+40x^4-32x^3 in the form described in the Linear Factorization Theorem. List each zero and its multiplicity
To Express q(x)=12x^5+40x^4-32x^3 in the form described in the Linear Factorization Theorem. The zero is 0, 2/3, -4 and the multiplicity is: 3, 1, 1.
Factorizationq(x)=12x^5+40x^4-32x³
q(x)=4x³ (3x²+10x-8)
q(x)=4x³(3x²+12x-2x-8)
q(x)=4x³ [(3x (x+4)-2 (x+4)]
q(x)=4x³ (3x-2) (x+4)
When:
q(x)=0; x1=0; x2=2/3; x3=-4
Hence:
When:
x=0 the multiplicity is 3
x=2/3 the multiplicity is 1
x=-4 the multiplicity is 1
Therefore the zero is 0, 2/3, -4 and the multiplicity is: 3, 1, 1.
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In the data set below, what are the lower quartile, the median, and the upper quartile?
The median, upper and lower quartiles of the data set are:
Lower Quartile = 46
Median = 49
Upper Quartile = 90
What is the Median?The center value or middle value of a data set is the median.
What are the Upper and Lower Quartiles?Upper quartile (Q3) is the center or middle data point of the second half of a data set.
Upper quartile (Q3) is the center or middle data point of the second half of a data set.
Order the data set given as:
32, 46, 49, 49, 77, 90, 96
Lower Quartile = 32, (46), 49, 49, 77, 90, 96 = 46
Median = 32, 46, 49, (49,) 77, 90, 96 = 49
Upper Quartile = 32, 46, 49, 49, 77, (90,) 96 = 90
Learn more about the Median, Upper and Lower Quartiles on:
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[tex]-35x^{6}=(-5x^2)(B)[/tex]
Find the missing factor of B that makes this equation true
help please and ty lol
Answer:
A=35.5 degrees
Step-by-step explanation:
Check out the photo. Leave a comment if anything's not clear.
Subtract the sum of -1000 and 848 from 590
Answer:
742
Step-by-step explanation:
the sum of -1000 and 848
= -1000+848
= -152
Subtract the sum of -1000 and 848 from 590
= 590-(-152)
= 590+152
= 742
Find the exact value.
sin 9
4
Type + or -
Step-by-step explanation:
[tex] \sin( \frac{9\pi}{4} ) [/tex]
[tex]0.1230573409[/tex]
solve and ( SHOW YOUR WORK !! )
Answer:
yea
Step-by-step explanation:
I need help with this anybody please ?
60
The answer is given in the above picture.
Hope u like it............
Definition: An proposed answer to a problem is called
if it can
possibly be within a small distance of the actual answer,
es )
Term:
Answer:
The purpose of a problem statement is to: 1 Introduce the reader to the importance of the topic being studied. ... 2 Anchors the research questions, hypotheses, or assumptions to follow. ... 3 Place the topic into a particular context that defines the parameters of what is to be investigated
Step-by-step explanation:
Use the Pythagorean Theorem to find which one of the
following is the hypotenuse c of a right triangle with side
lengths of a = 9 cm and b = 12 cm.
a 12 cm
b 15 cm
C 14 cm
d 17 cm
Altitude (AB) = 9cm
Base (BC) = 12cm
To FindHypotenuse (AC) = ?
[tex] \fbox \text{According To Pythagoras Theorem = }[/tex]
[tex] \text{(Hypotenuse)² = (Altitude)² + (Base)²}[/tex]
Inserting The Values
[tex] \text{(Hypotenuse)²} =( {9})^{2} + (12) {}^{2} \\ \\ \implies \text{(AC)} {}^{2} = 81 + 144 \\ \\ \implies \text{(AC}) {}^{2} = 225 \\ \\ \implies \text{AC} = \sqrt{225} \\ \\ \implies \text{AC} = 15[/tex]
[tex] \therefore \text{Hypotenuse \: (AC)} = 15 \text{cm}[/tex]
Option B= 15cm is the correct answer
Hope This HelpsWrite the phrase “the sum of 3 times a number and 5” as a mathematical expression.
Answer:
[tex](3*x)+5[/tex]
Step-by-step explanation:
Let the variable x equal "a number"
The phrase times means we multiply the variable x by the constant 3.
The phrase sum of means we add the constant 5 to the term (3 * x).
[tex](3*x)+5[/tex]
Answer: 3x + 5 that's the answer i had to type this cause the answer was to short to post lol
PLEASE HELP WITH THIS! IM FALLING BEHIND
Original side length: A'C'=5
Original angle: 37 degrees
By dilating with a scale factor over one, you are making it bigger. For this, you would multiply A'C' by 5. However, the angle doesn't change.
Resulting side length: A'C'=25
Resulting angle: 37 degrees
The correct answer is C.
If you owned 2,000 shares of Exxon Mobile stock, how much dividend did you receive? Use the stock table below to find
your answer.
Name
Exxon Mobil
Symbol
XOM
Close
$82.80
Day Range
$82.47-$83.23
52-Week Range $80.30-$95.55
Volume
7,513,630
P/E
34.50
Dividend
$3.08
Dividend Yield
3.7%
EPS
$2.40
Answer:
$6,160
Step-by-step explanation:
The total amount of dividend received is the product of the number of shares and the dividend per share:
(2000 shares) × ($3.08/share) = $6,160.00 . . . dividend received
I don’t understand, can anyone help me?
Answer:
Step-by-step explanation:
If x = 0, f(x) = -15.
If f(x) = 27, x = 3.
Find the slope and y−intercept of the line in the graph. Express the answers as simplified fractions, if necessary.
The slope is m =
The y−intercept is b =
The slope is m = 3.5; and the y-intercept is b = -6
Determining slope and y-intercept of a LineFrom the question, we are to determine the slope and the y-intercept of the line.
The slope of a line can be determine by picking any two points on the line.
Then applying the formula,
[tex]m =\frac{y_{2} -y_{1}}{x_{2}-x_{1}}[/tex]
Where m is the slope
Picking the points (2,1) and (0,-6).
∴[tex]x_{1} = 2[/tex]
[tex]x_{2} = 0[/tex]
[tex]y_{1}=1[/tex]
[tex]y_{2}=-6[/tex]
Then, the slope of the line in the graph is
[tex]m = \frac{-6-1}{0-2}[/tex]
[tex]m =\frac{-7}{-2}[/tex]
m = 3.5
For the y-intercept
The y-intercept is the point where the graph intersects the y-axis
From the graph,
The point where the line intersects the y-axis is -6.
∴ y-intercept, b = -6
Hence, the slope is m = 3.5; and the y-intercept is b = -6
Lear more on determining slope and y-intercept here: https://brainly.com/question/1280589
John was at the store and he saw his favorite video game
Answer:
That's cool
Step-by-step explanation:
Answer:
Thats cool and all but whats the wuestion
Step-by-step explanation:
